JAMB Mathematics 1989 Question 4

Question 4

Number Bases

If 12e = X7, find X where e = 12

  1. A.20
  2. B.15
  3. C.14
  4. D.12
Show the answer and explanation

Answer: A (20)

Explanation

12 in base 12 is 1 × 12 + 2 = 14 in base 10. In base 7, 14 = 2 × 7 + 0, which is 207.